3013002003000 has 1024 divisors, whose sum is σ = 10823866859520. Its totient is φ = 696960000000.

The previous prime is 3013002002987. The next prime is 3013002003013. The reversal of 3013002003000 is 3002003103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3013002002987) and next prime (3013002003013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12502082880 + ... + 12502083120.

It is an arithmetic number, because the mean of its divisors is an integer number (10570182480).

Almost surely, 2^{3013002003000} is an apocalyptic number.

3013002003000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013002003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411933429760).

3013002003000 is an abundant number, since it is smaller than the sum of its proper divisors (7810864856520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3013002003000 is a wasteful number, since it uses less digits than its factorization.

3013002003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 3013002003000 its reverse (3002003103), we get a palindrome (3016004006103).

The spelling of 3013002003000 in words is "three trillion, thirteen billion, two million, three thousand".